Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C11×#559 | C2 | semidirect |
| 2. #10623110 | C2 | semidirect |
| 4. #10622683 | C2 | semidirect |
| 5. #10622670 | C2 | semidirect |
| 6. #10622669 | C2 | semidirect |
| 7. C4×#4325 | C2 | semidirect |
| 8. Q8×C11⋊C8 | C2 | semidirect |
| 9. #10622634 | C2 | semidirect |
| 10. C4×#4323 | C2 | semidirect |
| 11. #10622622 | C2 | semidirect |
| 101. #559 | D11 | semidirect |
| 195. C11 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#559 | 2 |
| #10623110 | 2 |
| #10622685 | 2 |
| #10622683 | 2 |
| #10622670 | 2 |
| #10622669 | 2 |
| C4×#4325 | 2 |
| Q8×C11⋊C8 | 2 |
| #10622634 | 2 |
| C4×#4323 | 2 |
| #10622622 | 2 |
| #3361 | 11 |